## Pinkus, Allan M.

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 Author ID: pinkus.allan-m Published as: Pinkus, Allan; Pinkus, A.; Pinkus, Allan M.; Pinkus, Alan more...less Homepage: http://www2.math.technion.ac.il/~pinkus/ External Links: MGP · Google Scholar · Math-Net.Ru · dblp · GND · IdRef
 Documents Indexed: 113 Publications since 1974, including 7 Books 6 Contributions as Editor Reviewing Activity: 16 Reviews Co-Authors: 49 Co-Authors with 73 Joint Publications 2,019 Co-Co-Authors
all top 5

### Co-Authors

 45 single-authored 18 Micchelli, Charles A. 6 Karlin, Samuel 5 de Boor, Carl 4 Kroó, András 3 Shisha, Oved 3 Strauss, Hans 3 Wajnryb, Bronislaw 2 Buhmann, Martin Dietrich 2 Carnicer, Jésus Miguel 2 Cucker, Felipe 2 Elias, Uri 2 Hershkowitz, Daniel 2 Lee, John Walter 2 Lin, Vladimir Ya. 2 Peña, Juan Manuel 2 Todd, Michael J. 1 Anderson, James Milne 1 Atzmon, Aharon 1 Benyamini, Yoav 1 Braess, Dietrich 1 Davydov, Oleg V. 1 Dyn, Nira 1 Elsner, Ludwig F. 1 Erdős, Pál 1 FitzGerald, Carl H. 1 Friedland, Shmuel 1 Ismailov, Vugar E. 1 Jameson, Graham J. O. 1 Jia, Rong-Qing 1 Krick, Teresa 1 Kutyniok, Gitta 1 Leviatan, Dany 1 Maiorov, Vitaly Evgen’evich 1 Nevai, Paul G. 1 Ortiz, Eduardo L. 1 Pardo, Luis Miguel 1 Pinchasi, Rom 1 Quesada, José María 1 Rauhut, Holger 1 Schoenberg, Isaac Jacob 1 Süli, Endre E. 1 Szántó, Ágnes 1 Temiyakov, Vladimir 1 Totik, Vilmos 1 Wulbert, Dan 1 Wulbert, Daniel E. 1 Xu, Yuan 1 Zafrany, Samy 1 Ziegler, Zvi
all top 5

### Serials

 23 Journal of Approximation Theory 10 Linear Algebra and its Applications 5 Constructive Approximation 4 Cambridge Tracts in Mathematics 3 Transactions of the American Mathematical Society 3 SIAM Journal on Mathematical Analysis 3 ELA. The Electronic Journal of Linear Algebra 3 London Mathematical Society Lecture Note Series 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Numerische Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Surveys in Approximation Theory (SAT) 1 American Mathematical Monthly 1 IMA Journal of Numerical Analysis 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Studia Mathematica 1 The Mathematical Intelligencer 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Journal of Integral Equations 1 Advances in Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Acta Mathematica Hungarica 1 Approximation Theory and its Applications 1 SIAM Journal on Discrete Mathematics 1 Aequationes Mathematicae 1 Indagationes Mathematicae. New Series 1 Neurocomputing 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 East Journal on Approximations 1 Bulletin of the American Mathematical Society 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Azerbaijan Journal of Mathematics
all top 5

### Fields

 88 Approximations and expansions (41-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 15 Numerical analysis (65-XX) 9 Real functions (26-XX) 7 General and overarching topics; collections (00-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 3 Functions of a complex variable (30-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

96 Publications have been cited 1,426 times in 1,158 Documents Cited by Year
n-widths in approximation theory. Zbl 0551.41001
Pinkus, Allan
1985
Approximation theory of the MLP model in neural networks. Zbl 0959.68109
Pinkus, Allan
1999
Totally positive matrices. Zbl 1185.15028
Pinkus, Allan
2010
Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation. Zbl 0412.41002
De Boor, Carl; Pinkus, Allan
1978
Lower bounds for approximation by MLP neural networks. Zbl 0931.68093
Maiorov, Vitaly; Pinkus, Allan
1999
Moment theory for weak Chebyshev systems with applications to monosplines, quadrature formulae and best one-sided $$L^1$$-approximation by spline functions with fixed knots. Zbl 0353.41003
Micchelli, C. A.; Pinkus, Allan
1977
Fundamentality of ridge functions. Zbl 0813.41017
1993
Backward error analysis for totally positive linear systems. Zbl 0336.65020
de Boor, Carl; Pinkus, Allan
1977
Some problems in the approximation of functions of two variables and n- widths of integral operators. Zbl 0396.41014
Micchelli, Charles A.; Pinkus, Allan
1978
On $$L^ 1$$-approximation. Zbl 0679.41022
Pinkus, Allan M.
1989
Ridge functions. Zbl 1331.41001
Pinkus, Allan
2015
Interpolation by Ridge functions. Zbl 0783.41002
Braess, Dietrich; Pinkus, Allan
1993
On n-widths of periodic functions. Zbl 0423.41009
Pinkus, Allan
1979
n-widths of Sobolev spaces in $$L^ p$$. Zbl 0582.41018
Pinkus, Allan
1985
A simple proof of the Hobby-Rice theorem. Zbl 0339.41012
Pinkus, Allan
1977
Identifying linear combinations of ridge functions. Zbl 0931.41011
Buhmann, Martin D.; Pinkus, Allan
1999
Uniqueness in vector-valued approximation. Zbl 0780.41018
Pinkus, Allan
1993
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
1976
Approximating by ridge functions. Zbl 0937.65016
Pinkus, Allan
1997
Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval. Zbl 0395.41006
Pinkus, Allan
1978
Weak convergence of the area of nonparametric L//1 surfaces. Zbl 0412.41018
Micchelli, Ch. A.; Pinkus, A.
1977
Spectral properties of totally positive kernels and matrices. Zbl 0891.45001
Pinkus, Allan
1996
Variations on the Chebyshev and $$L^ q$$ theories of best approximation. Zbl 0532.41032
Pinkus, A.; Shisha, O.
1982
Strictly Hermitian positive definite functions. Zbl 1074.43004
Pinkus, Allan
2004
Strictly positive definite functions on a real inner product space. Zbl 1142.42307
Pinkus, Allan
2004
Weierstrass and approximation theory. Zbl 0968.41001
Pinkus, Allan
2000
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
1995
Interlacing properties of the zeros of the error functions in best $$L^p$$- approximations. Zbl 0428.41018
Pinkus, Allan; Ziegler, Zvi
1979
Unicity subspaces in $$L^ 1$$-approximation. Zbl 0603.41019
Pinkus, A.
1986
Density in approximation theory. Zbl 1067.41003
Pinkus, Allan
2005
Some remarks on nonnegative polynomials on polyhedra. Zbl 0706.26013
Micchelli, Charles A.; Pinkus, Allan
1989
Descartes systems from corner cutting. Zbl 0784.65017
Micchelli, Charles A.; Pinkus, Allan
1991
Functional inequalities for spectral radii of nonnegative matrices. Zbl 0699.15006
Elsner, Ludwig; Hershkowitz, Daniel; Pinkus, Allan
1990
On smoothest interpolants. Zbl 0693.41005
Pinkus, A.
1988
Interpolation on lines by ridge functions. Zbl 1298.41005
Ismailov, V. E.; Pinkus, A.
2013
TDI-subspaces of $$C(\mathbb{R}^ d)$$ and some density problems from neural networks. Zbl 0858.41023
Pinkus, Allan
1996
Matrices and n-widths. Zbl 0437.41023
Pinkus, Allan
1979
One-sided $$L^1$$ approximation by splines with fixed knots. Zbl 0337.41014
Pinkus, Allan
1976
Smoothness and uniqueness in ridge function representation. Zbl 1305.26036
Pinkus, A.
2013
Fourier series and integral transforms. Zbl 0999.42500
Pinkus, Allan; Zafrany, Samy
1997
Some extremal problems for strictly totally positive matrices. Zbl 0553.15008
Pinkus, A.
1985
Gaussian quadrature formulae with multiple nodes. Zbl 0345.41020
Karlin, Samuel; Pinkus, Allan
1976
On the Erdős conjecture concerning minimal norm interpolation on the unit circle. Zbl 0506.30026
Brutman, L.; Pinkus, A.
1980
On some zero-increasing operators. Zbl 0997.26008
Carnicer, J. M.; Peña, J. M.; Pinkus, A.
2002
Approximation of multivariate functions. Zbl 0836.41009
1994
On a recovery problem. Zbl 0892.42016
Buhmann, Martin; Pinkus, Allan
1997
Oscillation properties of generalized characteristic polynomials for totally positive and positive definite matrices. Zbl 0288.15013
Karlin, Samuel; Pinkus, Allan
1974
Strong uniqueness. Zbl 1181.41003
Kroó, András; Pinkus, Allan
2010
Structure of invertible (bi)infinite totally positive matrices. Zbl 0504.15014
de Boor, C.; Jia, Rong-qing; Pinkus, A.
1982
Positive and minimal projections in function spaces. Zbl 0508.41026
Jameson, G. J. O.; Pinkus, A.
1983
On n-widths in $$L^\infty$$. II: Some related extremal problems. Zbl 0451.41014
Micchelli, Ch. A.; Pinkus, A.
1980
Herman Müntz: a mathematician’s odyssey. Zbl 1154.01326
Ortiz, Eduardo L.; Pinkus, Allan
2005
Negative theorems in approximation theory. Zbl 1049.41013
Pinkus, Alan
2003
Extending $$n$$-convex functions. Zbl 1079.26004
Pinkus, Allan; Wulbert, Dan
2005
Inverses of infinite sign regular matrices. Zbl 0502.47015
De Boor, C.; Friedland, S.; Pinkus, A.
1982
Variational problems arising from balancing several error criteria. Zbl 0809.49021
Micchelli, C. A.; Pinkus, A.
1994
Some density problems in multivariate approximation. Zbl 0857.41029
Pinkus, Allan
1995
A problem of approximation using multivariate polynomials. Zbl 0857.41021
Pinkus, A.; Wajnryb, B.
1995
The n-widths of rank n+1 kernels. Zbl 0473.41019
Micchelli, Charles A.; Pinkus, Allan
1979
Continuous selections for the metric projection on $$C_ 1$$. Zbl 0642.41020
Pinkus, Allan
1988
Necessary conditions for uniqueness in $$L^ 1$$-approximation. Zbl 0671.41026
Pinkus, A.; Wajnryb, B.
1988
N-widths and optimal recovery. Zbl 0593.41023
Pinkus, A.
1986
$$L^{1}$$-approximation and finding solutions with small support. Zbl 1262.41017
Benyamini, Y.; Kroó, A.; Pinkus, A.
2012
Asymptotic minimum norm quadrature formulae. Zbl 0325.65007
Pinkus, Allan
1975
Best approximations by smooth functions. Zbl 0498.41010
Pinkus, A.
1981
Total positivity and the exact $$n$$-width of certain sets in $$L^1$$. Zbl 0331.41019
Micchelli, Charles A.; Pinkus, Allan
1977
Interpolation by splines with mixed boundary conditions. Zbl 0348.41009
Karlin, Samuel; Pinkus, Allan
1976
Total positivity and the exact $$n$$-width of certain sets in $$L^1$$. Zbl 0349.41011
Micchelli, Charles A.; Pinkus, Allan
1977
Best mean approximation to a 2-dimensional kernel by tensor products. Zbl 0352.41018
Micchelli, C. A.; Pinkus, A.
1977
Sparse representations and approximation theory. Zbl 1211.94015
Pinkus, Allan
2011
On best rank $$n$$ matrix approximations. Zbl 1251.15027
Pinkus, A.
2012
Bernstein’s comparison theorem and a problem of Braess. Zbl 0533.41021
Pinkus, A.
1981
Multivariate approximation and applications. Zbl 0963.00017
2001
Spectral properties and oscillation theorems for mixed boundary-value problems of Sturm-Liouville type. Zbl 0362.34017
Lee, J. W.; Pinkus, A.
1978
Best approximation and cyclic variation diminishing kernels. Zbl 0878.41019
Davydov, Oleg; Pinkus, Allan
1997
Some remarks on zero-increasing transformations. Zbl 1061.30006
Pinkus, Allan
2002
Best approximation with coefficient constraints. Zbl 0662.41019
Pinkus, A.; Strauss, H.
1988
The B-spline recurrence relations of Chakalov and of Popoviciu. Zbl 1028.41009
de Boor, Carl; Pinkus, Allan
2003
Dominating subsets under projections. Zbl 1222.41045
Pinchasi, Rom; Pinkus, Allan
2010
On stability of the metric projection operator. Zbl 1280.41010
Kroó, András; Pinkus, Allan
2013
An extremal property of multiple Gaussian nodes. Zbl 0335.41015
Karlin, Samuel; Pinkus, Allan
1976
On $$n$$-widths and optimal recovery in $$M^r$$. Zbl 0345.41016
Micchelli, Charles A.; Pinkus, Allan
1976
Applications of representation theorems to problems of Chebyshev approximation with constraints. Zbl 0346.41022
Pinkus, Allan
1976
Smoothest interpolants. Zbl 0901.41003
Pinkus, Allan
1997
On zero-preserving linear transformations. Zbl 0995.41015
Carnicer, J. M.; Peña, J. M.; Pinkus, A.
2002
The alternating algorithm in a uniformly convex and uniformly smooth Banach space. Zbl 1301.41025
Pinkus, Allan
2015
An interlacing property of eigenvalues of strictly totally positive matrices. Zbl 0933.15034
Pinkus, Allan
1998
Multivariate polynomials: A spanning question. Zbl 0826.41008
Pinkus, A.; Wajnryb, B.
1995
Representation theorems for Tchebycheffian polynomials with boundary conditions and their applications. Zbl 0284.41009
Pinkus, Allan
1974
Interpolation by matrices. Zbl 1069.15012
Pinkus, Allan
2004
One-sided $$L^ 1$$-approximation to differentiable functions. Zbl 0617.41042
Pinkus, A.; Strauss, H.
1987
Nonlinear eigenvalue problems for a class of ordinary differential equations. Zbl 1028.34076
Elias, Uri; Pinkus, Allan
2002
Rank restricting functions. Zbl 1031.15002
Atzmon, Aharon; Pinkus, Allan
2003
Progress in approximation theory. Zbl 0719.41001
1991
The exact asymptotic value for the n-width of smooth functions in $$L^\infty$$. Zbl 0345.41015
Micchelli, Charles A.; Pinkus, Allan
1976
Foundations of computational mathematics, Hong Kong, China, 2008. Selected papers based on the presentations at the international conference of the Society for the Foundations of Computational Mathematics (FoCM), June 16–26, 2008. Zbl 1170.13001
2009
Ridge functions. Zbl 1331.41001
Pinkus, Allan
2015
The alternating algorithm in a uniformly convex and uniformly smooth Banach space. Zbl 1301.41025
Pinkus, Allan
2015
Interpolation on lines by ridge functions. Zbl 1298.41005
Ismailov, V. E.; Pinkus, A.
2013
Smoothness and uniqueness in ridge function representation. Zbl 1305.26036
Pinkus, A.
2013
On stability of the metric projection operator. Zbl 1280.41010
Kroó, András; Pinkus, Allan
2013
$$L^{1}$$-approximation and finding solutions with small support. Zbl 1262.41017
Benyamini, Y.; Kroó, A.; Pinkus, A.
2012
On best rank $$n$$ matrix approximations. Zbl 1251.15027
Pinkus, A.
2012
Sparse representations and approximation theory. Zbl 1211.94015
Pinkus, Allan
2011
Totally positive matrices. Zbl 1185.15028
Pinkus, Allan
2010
Strong uniqueness. Zbl 1181.41003
Kroó, András; Pinkus, Allan
2010
Dominating subsets under projections. Zbl 1222.41045
Pinchasi, Rom; Pinkus, Allan
2010
Foundations of computational mathematics, Hong Kong, China, 2008. Selected papers based on the presentations at the international conference of the Society for the Foundations of Computational Mathematics (FoCM), June 16–26, 2008. Zbl 1170.13001
2009
Density in approximation theory. Zbl 1067.41003
Pinkus, Allan
2005
Herman Müntz: a mathematician’s odyssey. Zbl 1154.01326
Ortiz, Eduardo L.; Pinkus, Allan
2005
Extending $$n$$-convex functions. Zbl 1079.26004
Pinkus, Allan; Wulbert, Dan
2005
Strictly Hermitian positive definite functions. Zbl 1074.43004
Pinkus, Allan
2004
Strictly positive definite functions on a real inner product space. Zbl 1142.42307
Pinkus, Allan
2004
Interpolation by matrices. Zbl 1069.15012
Pinkus, Allan
2004
Negative theorems in approximation theory. Zbl 1049.41013
Pinkus, Alan
2003
The B-spline recurrence relations of Chakalov and of Popoviciu. Zbl 1028.41009
de Boor, Carl; Pinkus, Allan
2003
Rank restricting functions. Zbl 1031.15002
Atzmon, Aharon; Pinkus, Allan
2003
On some zero-increasing operators. Zbl 0997.26008
Carnicer, J. M.; Peña, J. M.; Pinkus, A.
2002
Some remarks on zero-increasing transformations. Zbl 1061.30006
Pinkus, Allan
2002
On zero-preserving linear transformations. Zbl 0995.41015
Carnicer, J. M.; Peña, J. M.; Pinkus, A.
2002
Nonlinear eigenvalue problems for a class of ordinary differential equations. Zbl 1028.34076
Elias, Uri; Pinkus, Allan
2002
Multivariate approximation and applications. Zbl 0963.00017
2001
Weierstrass and approximation theory. Zbl 0968.41001
Pinkus, Allan
2000
Approximation theory of the MLP model in neural networks. Zbl 0959.68109
Pinkus, Allan
1999
Lower bounds for approximation by MLP neural networks. Zbl 0931.68093
Maiorov, Vitaly; Pinkus, Allan
1999
Identifying linear combinations of ridge functions. Zbl 0931.41011
Buhmann, Martin D.; Pinkus, Allan
1999
An interlacing property of eigenvalues of strictly totally positive matrices. Zbl 0933.15034
Pinkus, Allan
1998
Approximating by ridge functions. Zbl 0937.65016
Pinkus, Allan
1997
Fourier series and integral transforms. Zbl 0999.42500
Pinkus, Allan; Zafrany, Samy
1997
On a recovery problem. Zbl 0892.42016
Buhmann, Martin; Pinkus, Allan
1997
Best approximation and cyclic variation diminishing kernels. Zbl 0878.41019
Davydov, Oleg; Pinkus, Allan
1997
Smoothest interpolants. Zbl 0901.41003
Pinkus, Allan
1997
Spectral properties of totally positive kernels and matrices. Zbl 0891.45001
Pinkus, Allan
1996
TDI-subspaces of $$C(\mathbb{R}^ d)$$ and some density problems from neural networks. Zbl 0858.41023
Pinkus, Allan
1996
Functions that preserve families of positive semidefinite matrices. Zbl 0852.43004
FitzGerald, Carl H.; Micchelli, Charles A.; Pinkus, Allan
1995
Some density problems in multivariate approximation. Zbl 0857.41029
Pinkus, Allan
1995
A problem of approximation using multivariate polynomials. Zbl 0857.41021
Pinkus, A.; Wajnryb, B.
1995
Multivariate polynomials: A spanning question. Zbl 0826.41008
Pinkus, A.; Wajnryb, B.
1995
Approximation of multivariate functions. Zbl 0836.41009
1994
Variational problems arising from balancing several error criteria. Zbl 0809.49021
Micchelli, C. A.; Pinkus, A.
1994
Fundamentality of ridge functions. Zbl 0813.41017
1993
Interpolation by Ridge functions. Zbl 0783.41002
Braess, Dietrich; Pinkus, Allan
1993
Uniqueness in vector-valued approximation. Zbl 0780.41018
Pinkus, Allan
1993
Descartes systems from corner cutting. Zbl 0784.65017
Micchelli, Charles A.; Pinkus, Allan
1991
Progress in approximation theory. Zbl 0719.41001
1991
Functional inequalities for spectral radii of nonnegative matrices. Zbl 0699.15006
Elsner, Ludwig; Hershkowitz, Daniel; Pinkus, Allan
1990
On $$L^ 1$$-approximation. Zbl 0679.41022
Pinkus, Allan M.
1989
Some remarks on nonnegative polynomials on polyhedra. Zbl 0706.26013
Micchelli, Charles A.; Pinkus, Allan
1989
On smoothest interpolants. Zbl 0693.41005
Pinkus, A.
1988
Continuous selections for the metric projection on $$C_ 1$$. Zbl 0642.41020
Pinkus, Allan
1988
Necessary conditions for uniqueness in $$L^ 1$$-approximation. Zbl 0671.41026
Pinkus, A.; Wajnryb, B.
1988
Best approximation with coefficient constraints. Zbl 0662.41019
Pinkus, A.; Strauss, H.
1988
One-sided $$L^ 1$$-approximation to differentiable functions. Zbl 0617.41042
Pinkus, A.; Strauss, H.
1987
Unicity subspaces in $$L^ 1$$-approximation. Zbl 0603.41019
Pinkus, A.
1986
N-widths and optimal recovery. Zbl 0593.41023
Pinkus, A.
1986
n-widths in approximation theory. Zbl 0551.41001
Pinkus, Allan
1985
n-widths of Sobolev spaces in $$L^ p$$. Zbl 0582.41018
Pinkus, Allan
1985
Some extremal problems for strictly totally positive matrices. Zbl 0553.15008
Pinkus, A.
1985
Positive and minimal projections in function spaces. Zbl 0508.41026
Jameson, G. J. O.; Pinkus, A.
1983
Variations on the Chebyshev and $$L^ q$$ theories of best approximation. Zbl 0532.41032
Pinkus, A.; Shisha, O.
1982
Structure of invertible (bi)infinite totally positive matrices. Zbl 0504.15014
de Boor, C.; Jia, Rong-qing; Pinkus, A.
1982
Inverses of infinite sign regular matrices. Zbl 0502.47015
De Boor, C.; Friedland, S.; Pinkus, A.
1982
Best approximations by smooth functions. Zbl 0498.41010
Pinkus, A.
1981
Bernstein’s comparison theorem and a problem of Braess. Zbl 0533.41021
Pinkus, A.
1981
On the Erdős conjecture concerning minimal norm interpolation on the unit circle. Zbl 0506.30026
Brutman, L.; Pinkus, A.
1980
On n-widths in $$L^\infty$$. II: Some related extremal problems. Zbl 0451.41014
Micchelli, Ch. A.; Pinkus, A.
1980
On n-widths of periodic functions. Zbl 0423.41009
Pinkus, Allan
1979
Interlacing properties of the zeros of the error functions in best $$L^p$$- approximations. Zbl 0428.41018
Pinkus, Allan; Ziegler, Zvi
1979
Matrices and n-widths. Zbl 0437.41023
Pinkus, Allan
1979
The n-widths of rank n+1 kernels. Zbl 0473.41019
Micchelli, Charles A.; Pinkus, Allan
1979
Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation. Zbl 0412.41002
De Boor, Carl; Pinkus, Allan
1978
Some problems in the approximation of functions of two variables and n- widths of integral operators. Zbl 0396.41014
Micchelli, Charles A.; Pinkus, Allan
1978
Some extremal properties of perfect splines and the pointwise Landau problem on the finite interval. Zbl 0395.41006
Pinkus, Allan
1978
Spectral properties and oscillation theorems for mixed boundary-value problems of Sturm-Liouville type. Zbl 0362.34017
Lee, J. W.; Pinkus, A.
1978
Moment theory for weak Chebyshev systems with applications to monosplines, quadrature formulae and best one-sided $$L^1$$-approximation by spline functions with fixed knots. Zbl 0353.41003
Micchelli, C. A.; Pinkus, Allan
1977
Backward error analysis for totally positive linear systems. Zbl 0336.65020
de Boor, Carl; Pinkus, Allan
1977
A simple proof of the Hobby-Rice theorem. Zbl 0339.41012
Pinkus, Allan
1977
Weak convergence of the area of nonparametric L//1 surfaces. Zbl 0412.41018
Micchelli, Ch. A.; Pinkus, A.
1977
Total positivity and the exact $$n$$-width of certain sets in $$L^1$$. Zbl 0331.41019
Micchelli, Charles A.; Pinkus, Allan
1977
Total positivity and the exact $$n$$-width of certain sets in $$L^1$$. Zbl 0349.41011
Micchelli, Charles A.; Pinkus, Allan
1977
Best mean approximation to a 2-dimensional kernel by tensor products. Zbl 0352.41018
Micchelli, C. A.; Pinkus, A.
1977
Studies in spline functions and approximation theory. Zbl 0323.00007
Karlin, Samuel; Micchelli, Charles A.; Pinkus, Allan; Schoenberg, I. J.
1976
One-sided $$L^1$$ approximation by splines with fixed knots. Zbl 0337.41014
Pinkus, Allan
1976
Gaussian quadrature formulae with multiple nodes. Zbl 0345.41020
Karlin, Samuel; Pinkus, Allan
1976
Interpolation by splines with mixed boundary conditions. Zbl 0348.41009
Karlin, Samuel; Pinkus, Allan
1976
An extremal property of multiple Gaussian nodes. Zbl 0335.41015
Karlin, Samuel; Pinkus, Allan
1976
On $$n$$-widths and optimal recovery in $$M^r$$. Zbl 0345.41016
Micchelli, Charles A.; Pinkus, Allan
1976
Applications of representation theorems to problems of Chebyshev approximation with constraints. Zbl 0346.41022
Pinkus, Allan
1976
The exact asymptotic value for the n-width of smooth functions in $$L^\infty$$. Zbl 0345.41015
Micchelli, Charles A.; Pinkus, Allan
1976
Asymptotic minimum norm quadrature formulae. Zbl 0325.65007
Pinkus, Allan
1975
Oscillation properties of generalized characteristic polynomials for totally positive and positive definite matrices. Zbl 0288.15013
Karlin, Samuel; Pinkus, Allan
1974
Representation theorems for Tchebycheffian polynomials with boundary conditions and their applications. Zbl 0284.41009
Pinkus, Allan
1974
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### Cited by 1,265 Authors

 33 Peña, Juan Manuel 26 Pinkus, Allan M. 21 Ismailov, Vugar E. 15 Shabozov, Mirgand Shabozovich 14 Fang, Gensun 13 Maiorov, Vitaly Evgen’evich 12 Costarelli, Danilo 12 Kroó, András 12 Wang, Heping 11 Vasil’eva, Anastasiya Andreevna 10 Babenko, Vladyslav Fedorovych 10 Sanguineti, Marcello 10 Sommer, Manfred 9 Garloff, Jürgen 9 Kilgore, Theodore A. 9 Kofanov, V. A. 9 Li, Chong 9 Liu, Yongping 9 Zhu, Baoxuan 8 Babuška, Ivo 8 Barton, Michael H. 8 Cao, Feilong 8 Gnecco, Giorgio 8 Kůrková, Věra 8 Kushpel, Alexander K. 8 Lang, Jan 8 Menegatto, Valdir Antonio 8 Narayan, Akil C. 8 Sande, Espen 8 Schwab, Christoph 8 Wang, Yi 7 Adm, Mohammad 7 Dyn, Nira 7 Guillot, Dominique 7 Iwasaki, Masashi 7 Kushel, Olga Yur’evna 7 Lin, Shaobo 7 Mainar, Esmeralda 7 Micchelli, Charles A. 7 Strauss, Hans 7 Ullrich, Tino 7 Watson, G. Alistair 6 Ait-Haddou, Rachid 6 Alonso, Pedro 6 Boyanov, Borislav Dechev 6 Calo, Victor Manuel 6 Cantó, Rafael 6 Delgado, Jorge F. M. 6 Khare, Apoorva 6 Malykhin, Yuriĭ Vyacheslavovich 6 Marco García, Ana 6 Martínez, José-Javier 6 Nakamura, Yoshimasa 6 Peherstorfer, Franz 6 Peperko, Aljoša 6 Rubio, Beatriz 6 Sickel, Winfried 6 Spigler, Renato 6 Urbano, Ana María 6 Vybíral, Jan 5 Barreras, Alvaro 5 Constantine, Paul G. 5 Dai, Feng 5 Huang, Rong 5 Jetter, Kurt 5 Konyagin, Sergeĭ Vladimirovich 5 Kuleshov, Aleksandr Andreevich 5 Light, William A. 5 Margaliot, Michael 5 Peron, Ana Paula 5 Petersen, Philipp Christian 5 Saff, Edward Barry 5 Serdyuk, Anatoly S. 5 Serrano, María Luisa 5 Tozoni, Sergio Antonio 5 Vakarchuk, Sergei Borisovich 5 Vinogradov, Oleg Leonidovich 5 Volkov, Yuriĭ Stepanovich 5 Wasilkowski, Grzegorz W. 5 Woźniakowski, Henryk 5 Yusupov, Gulzorkhon Amirshoevich 4 Agranovsky, Mark L. 4 Aliev, Rashid Avazaga 4 Braess, Dietrich 4 Buslaev, Aleksandr Pavlovich 4 Cantó, Begoña 4 Chen, Yanlai 4 Edmunds, David Eric 4 Filbir, Frank-Dieter 4 Fisher, Stephen D. 4 Floater, Michael S. 4 Fukuda, Akiko 4 Ishiwata, Emiko 4 Jiang, Jiahua 4 Kainen, Paul C. 4 Kondo, Koichi 4 Konovalov, Victor N. 4 Langarshoev, Mukhtor Ramazonovich 4 Levesley, Jeremy 4 Li, Xuehua ...and 1,165 more Authors
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### Cited in 255 Serials

 168 Journal of Approximation Theory 59 Linear Algebra and its Applications 52 Journal of Complexity 35 Journal of Mathematical Analysis and Applications 33 Mathematical Notes 32 Ukrainian Mathematical Journal 31 Journal of Computational and Applied Mathematics 31 Constructive Approximation 18 Computer Methods in Applied Mechanics and Engineering 17 Numerische Mathematik 16 SIAM Journal on Scientific Computing 16 Advances in Computational Mathematics 15 Proceedings of the American Mathematical Society 14 Journal of Computational Physics 14 Mathematics of Computation 13 Numerical Functional Analysis and Optimization 12 Automatica 12 Neural Networks 11 Computers & Mathematics with Applications 11 Proceedings of the Steklov Institute of Mathematics 10 Applied Mathematics and Computation 10 Journal of Functional Analysis 10 Journal of Scientific Computing 10 Numerical Algorithms 10 Acta Mathematica Sinica. English Series 8 Journal d’Analyse Mathématique 8 Transactions of the American Mathematical Society 8 Applied and Computational Harmonic Analysis 8 Journal of Mathematical Sciences (New York) 7 Analysis Mathematica 7 Linear and Multilinear Algebra 7 Results in Mathematics 7 Siberian Mathematical Journal 7 Advances in Applied Mathematics 7 Computer Aided Geometric Design 7 Russian Journal of Mathematical Physics 7 Analysis and Applications (Singapore) 6 Applied Numerical Mathematics 6 St. Petersburg Mathematical Journal 5 Rocky Mountain Journal of Mathematics 5 The Annals of Statistics 5 Calcolo 5 Journal of Combinatorial Theory. Series A 5 Journal of Optimization Theory and Applications 5 Mathematische Zeitschrift 5 Systems & Control Letters 5 Acta Mathematica Hungarica 5 International Journal of Computer Mathematics 5 International Journal of Robust and Nonlinear Control 5 Positivity 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 SIAM Journal on Mathematics of Data Science 4 Discrete Mathematics 4 Israel Journal of Mathematics 4 Advances in Mathematics 4 BIT 4 Computing 4 Science in China. Series A 4 Machine Learning 4 Neural Computation 4 Journal of Inequalities and Applications 4 Foundations of Computational Mathematics 4 Multiscale Modeling & Simulation 4 Communications in Computational Physics 4 Science China. Mathematics 3 Applicable Analysis 3 Mathematische Nachrichten 3 SIAM Journal on Numerical Analysis 3 European Journal of Combinatorics 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Aequationes Mathematicae 3 Applied Mathematical Modelling 3 Expositiones Mathematicae 3 The Electronic Journal of Combinatorics 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics 3 Journal of Machine Learning Research (JMLR) 3 Computational Methods and Function Theory 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Electronic Journal of Statistics 3 Special Matrices 3 Research in the Mathematical Sciences 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Inverse Problems 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Fuzzy Sets and Systems 2 Journal of Differential Equations 2 Journal of Econometrics 2 Journal of Multivariate Analysis 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Statistics & Probability Letters 2 Physica D 2 Revista Matemática Iberoamericana ...and 155 more Serials
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### Cited in 54 Fields

 590 Approximations and expansions (41-XX) 309 Numerical analysis (65-XX) 143 Linear and multilinear algebra; matrix theory (15-XX) 125 Computer science (68-XX) 115 Functional analysis (46-XX) 108 Harmonic analysis on Euclidean spaces (42-XX) 87 Operator theory (47-XX) 57 Functions of a complex variable (30-XX) 56 Partial differential equations (35-XX) 54 Real functions (26-XX) 52 Statistics (62-XX) 44 Combinatorics (05-XX) 37 Systems theory; control (93-XX) 30 Special functions (33-XX) 30 Biology and other natural sciences (92-XX) 29 Operations research, mathematical programming (90-XX) 28 Probability theory and stochastic processes (60-XX) 25 Number theory (11-XX) 25 Integral transforms, operational calculus (44-XX) 21 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Information and communication theory, circuits (94-XX) 16 Abstract harmonic analysis (43-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Integral equations (45-XX) 13 Difference and functional equations (39-XX) 11 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 10 Quantum theory (81-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Convex and discrete geometry (52-XX) 8 Measure and integration (28-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Algebraic geometry (14-XX) 7 Group theory and generalizations (20-XX) 7 Potential theory (31-XX) 5 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 5 General topology (54-XX) 4 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 3 Optics, electromagnetic theory (78-XX) 2 Associative rings and algebras (16-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)